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 2 years ago
PLEASE HELP MEEE :( consider the points P (3, 0), Q (a, b) R (3, 3) and S (b+2,a+5). find the coordinates of Q and S if figure PQRS forms a parallelogram.
okay so what i did is equate the slope and distances of lines PQ and RS... but i'm still not getting a final answer :(
 2 years ago
PLEASE HELP MEEE :( consider the points P (3, 0), Q (a, b) R (3, 3) and S (b+2,a+5). find the coordinates of Q and S if figure PQRS forms a parallelogram. okay so what i did is equate the slope and distances of lines PQ and RS... but i'm still not getting a final answer :(

This Question is Closed

dydlf
 2 years ago
Best ResponseYou've already chosen the best response.0slope pq= slope rs> b/(a+3)=(a+8)/(b1) distance pq = distance rs > (a+3)^2+b^2=(b1)^2+(a+8)^2 so b=5a+28 tried to do systems but then there's no answer?!?!?! based on http://www.wolframalpha.com/input/?i=%28a%2B3%29%5E2%2Bb%5E2%3D%28b1%29%5E2%2B%28a%2B8%29%5E2%3B+b%2F%28a%2B3%29%3D%28a%2B8%29%2F%28b1%29 huhuhu someone help please :((

ghass1978
 2 years ago
Best ResponseYou've already chosen the best response.0did you try solving it with vectors?

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1im thinking of midpoints :)

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1(P+R)/2 = (Q+S)/2 P+R = Q+S

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1but that just gets me parallel lines that have no solution :/ a+b = 2 a+b = 8

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1is there a figure to pull information off of?

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1345725961534:dw we need to develop a notion of the rule that defines Q and S to narrow down the options eh

dydlf
 2 years ago
Best ResponseYou've already chosen the best response.0what did you mean by your last message, amistre64? btw, is there anything wrong with my solution?

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1a parallelagram is defined as opposite sides are parallel; i was just looking for "orbits" that would define the possibilities of 2 other points.

dydlf
 2 years ago
Best ResponseYou've already chosen the best response.0ghass1978, nope i don't remember how to use vectors... it's not part of our exam. sorry

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1your initial ideas look good in that they are defining valid properties

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1is there a diagram that goes with this? or is it just a wordy problem?

dydlf
 2 years ago
Best ResponseYou've already chosen the best response.0just that, exactly that :( waaaaahhh :(

dydlf
 2 years ago
Best ResponseYou've already chosen the best response.0but it says PQRS which means the sequence of the coordinates would be that way. as in Q "between" P and R... if that's what you're wondering

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1345726700410:dw without using the relationship between Q and S, we can get any number of values for Q and S

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1Q(0,0) S(2,5) if we adjust this so that the midpoint is at 0,1.5 it satisfies the rule Q(1,4) S(1,1) is a solution

dydlf
 2 years ago
Best ResponseYou've already chosen the best response.0wait wait i don't get your drawing??? how did you get those? :( sorry!! i don't think we were taught that method yet?

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1draw a parallelgramdw:1345727410942:dw

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1345727435579:dwdw:1345727448036:dw

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1the midpoint of PR is the midpoint of QS , define some points that match the rule Q(a,b) S(b+2,a+5) and resolve the midpoint by moving the points about

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1any scaled values of Q and S also work if there is a given picture to conform to, we can narrow down the odds of what they want tho

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1345727657560:dw

dydlf
 2 years ago
Best ResponseYou've already chosen the best response.0the right answer is S(5, 4) and Q(9,3) ?? just found out now... how do you get that then? btw i will close this, have another question to ask.

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.19, 3 5,4  4,1 ; midpoint = 2,1/2 3, 0 3, 3  0,3 ; midpoint = 0, 3/2 you either have some misinformation in the post, or the answer is wrong.

dydlf
 2 years ago
Best ResponseYou've already chosen the best response.0okay wait so i did the midpoint thing but i'm still lost... midpoint of pr is (0, 3/2) midpoint of qs is ([a+b+2]/2, [a+b+5]/2) i tried equating [a+b+2]/2=0 and [a+b+5]/2=3/2 then i got... a+b=2 a+b=8 ??? so how did you get Q(1,4) S(1,1) ?

dydlf
 2 years ago
Best ResponseYou've already chosen the best response.0nevermind, i believe our teacher gave the wrong given. i believe s should have been (a+2, b+5)

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1I essentially created a set of points in a different place that matched the given rule. Then I moved those points into the proper position.

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.1using your new rule for Q and S .... Q(a,b) S(a+2, b+5) select any values you want for a and b; say a=6 and b=1 .... random picks Q(6,1) S(6+2, 1+5) Q(6,1) S(8, 4) now that I have a set of points that matches the rule, lets determine its own midpoint as is (7 , 3/2) now i want this midpoint to be at (0,3/2), so lets see how we adjust it to get there (7 , 3/2) 7, 6/2 < i need to move Q and S by the same  (0, 3/2) since we have to move the midpoint by (7,3), we will have to move Q and S by the same amount Q(6,1) S(8, 4) 7 3 7 3   Q(1,4) S(1, 1) now we have a set of points Q and S that match the given rule; and is located in the proper spot
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